Pith Number

pith:CCO5K6QE

pith:2011:CCO5K6QEPZUC4FEK6HVRFDHNHO

not attested not anchored not stored refs pending

Auslander-Reiten translations in monomorphism categories

Bao-Lin Xiong, Pu Zhang, Yue-Hui Zhang

arxiv:1101.4113 v1 · 2011-01-21 · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CCO5K6QEPZUC4FEK6HVRFDHNHO}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:31:12.673114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

109dd57a047e682e148af1eb128ced3ba4d22881dea78fcb5c9f3d79dfeca421

Aliases

arxiv: 1101.4113 · arxiv_version: 1101.4113v1 · doi: 10.48550/arxiv.1101.4113 · pith_short_12: CCO5K6QEPZUC · pith_short_16: CCO5K6QEPZUC4FEK · pith_short_8: CCO5K6QE

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/CCO5K6QEPZUC4FEK6HVRFDHNHO \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 109dd57a047e682e148af1eb128ced3ba4d22881dea78fcb5c9f3d79dfeca421

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c02511f6baef99e68ab1e6e7e0560740acd77516a9d7ceeb40222535d30a43a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-01-21T11:31:48Z",
    "title_canon_sha256": "b9c60e60b61926eeda4b4275487a2ec23df986723eaf7831e624df750629916d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4113",
    "kind": "arxiv",
    "version": 1
  }
}